Use the power-reducing formulas to rewrite the expression in terms of first powers of the cosines of multiple angles. sin^4(2x)

Answer:

7.33

Step-by-step explanation:

An algebraic expression equivalent to tan(arcsin(x)) is simply x.

To find an algebraic expression equivalent to tan(arcsin(x)), we can start by considering a right triangle. Let's assume one of the acute angles of the triangle is θ, and the opposite side is x, the adjacent side is 1, and the hypotenuse is h.

Since sin(θ) is defined as the ratio of the length of the opposite side to the hypotenuse, we have sin(θ) = x/h.

Using the Pythagorean theorem, we can find the length of the hypotenuse:

h^2 = x^2 + 1^2

h^2 = x^2 + 1

h = √(x^2 + 1)

Now, we can find tan(θ) using the definition of the tangent function:

tan(θ) = sin(θ) / cos(θ)

cos(θ) is defined as the ratio of the length of the adjacent side to the hypotenuse. In our case, cos(θ) = 1/h.

Substituting the values we found earlier, we have:

tan(θ) = (x/h) / (1/h)

tan(θ) = x

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Answer:

Perimeter = 70ft

Step-by-step explanation:

Area of a rectangle is:

area = (length * width)

150 = a * b

a = 6b

a = length

b = width

then:

150 = 6b*b

150 = 6b²

b² = 150/6

b² = 25

√b² = √25

b = 5ft

a = 6b

a = 6*5

a = 30ft

then:

perimeter of a rectangle is:

p = 2(a+b)

p = 2(30 + 5)

p = 2*35

p = 70ft

Answer:

\(\frac{P}{2} - x = y\)

Step-by-step explanation:

Given the equation: P = 2(x + y),

Divide both sides by 2 to eliminate the fraction from the right-hand side of the equation:

P = 2(x + y)

\(\frac{P}{2} = \frac{2(x + y)}{2}\)

\(\frac{P}{2} = x + y\)

Then, subtract x from both sides to solve for y:

\(\frac{P}{2} - x = x + y - x\)

\(\frac{P}{2} - x = y\)

The solution to the inequality -2x + 4 < 16 is x > -6.

To solve the inequality -2x + 4 < 16, you can follow these steps:

Start by isolating the variable term. In this case, the variable term is -2x. Move the constant term, which is +4, to the other side of the inequality by subtracting 4 from both sides:

-2x + 4 - 4 < 16 - 4

-2x < 12

Next, divide both sides of the inequality by the coefficient of x, which is -2. It's important to note that when you divide or multiply an inequality by a negative number, you need to reverse the direction of the inequality sign:

(-2x) / -2 > 12 / -2

x > -6

The solution to the inequality is x > -6. This means that any value of x greater than -6 would satisfy the original inequality. Graphically, this represents all the numbers to the right of -6 on the number line.

So, the solution to the inequality -2x + 4 < 16 is x > -6.

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Answer:

111340

Step-by-step explanation:

divide 104500 by 13.75 then get 7600. 7600 is for every hour then multipy 7600 by 14.65 then u get 111340. I HOPE THIS HELPED

Answer:

1,507.964 liters

Step-by-step explanation:

I did the math

Answer:

Step-by-step explanation:

dh/dt=3/25 pie   m/min

Answer:

4^0 + 2 x 3 - 2 = 5

2^2 + 10 - 3 x 2 = 8

9 + 3^2 - 1 x 4 = 14

please give brainliest

Answer:

n = 18

Step-by-step explanation:

We can use the following equation to solve for n:

\(1/2n+15=24\\1/2n=9\\n=18\)

If we check, we see that half of 18 is 9 and 9 + 15 is indeed 24

Answer:

y=3/2x-7

Step-by-step explanation:

To calculate a three-month moving average for monthly forecasting, you need to follow these steps: Gather the historical data, Determine the time period, Calculate the moving average, Repeat the process.

Gather the historical data: Collect the monthly data for the specific variable you want to forecast. For example, if you want to forecast sales, gather the sales data for the past several months.

Determine the time period: Decide on the time period for your moving average. In this case, it is three months.

Calculate the moving average: Add up the values for the variable you are analyzing over the past three months and divide the sum by three to get the average. This will be your moving average value for the third month.

Repeat the process: Shift the time period by one month and calculate the moving average for the new three-month period. Continue this process for each subsequent month, updating the time period and calculating the moving average accordingly.

For example, let's say you have the following sales data for the past six months:

Month 1: 100 units

Month 2: 120 units

Month 3: 110 units

Month 4: 130 units

Month 5: 140 units

Month 6: 150 units

To calculate the three-month moving average for Month 4, you would add up the sales values for Month 2, Month 3, and Month 4 (120 + 110 + 130 = 360) and divide it by three to get an average of 120 units. Repeat this process for each subsequent month to obtain the moving average values for your forecast.

Note that the number of data points you include in the moving average calculation and the frequency of the data (monthly in this case) can be adjusted based on your specific needs and the nature of the data.

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Answer:

0.28

Step-by-step explanation:

72/260=0.276...

0.276...×1

=0.28

18 liters of gasoline will need to go 72 kilometers.

Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.

- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.

for example 4 -2 = 2

* Multiplication operation: Multiplies values on either side of the operator

For example 4*2 = 8

/ Division operation: Divides left-hand operand by right-hand operand

For example 4/2 = 2

Let the p liters of gasoline will need to go 72 kilometers

Given that boat can travel 260 kilometers on 65 liters of gasoline

To determine the gasoline will need to go 72 kilometers

⇒ (260 km)/(65 L) = (72 km)/(p L)

⇒ 260/65 = 72/p

⇒ 260p = 65×72

⇒ 260p = 4680

⇒ p = 4680/260

⇒ p = 18

Hence, 18 liters of gasoline will need to go 72 kilometers

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Answer: Always

An example would be 5 + (-5) = 0

Another example is -7 + 7 = 0

The opposite of any positive number is the negative version of that number.

Adding any positive number to its negative counterpart always leads to 0.

A real world example could be "You start on the ground floor. Then you go up 9 floors, and then go down 9 floors in a building, so ultimately you're at the ground floor again". By the term "ground floor", I mean "floor 0".

The correct answer is 59%.

Division is a mathematical operation that involves dividing one number (the dividend) by another number (the divisor) to determine the quotient. Division can be used to solve problems involving fractions, decimals, and percentages. It is also used to simplify complex equations and to break down large numbers into smaller, more manageable parts. Division is one of the four basic operations of arithmetic, along with addition, subtraction, and multiplication.

Out of the 36 customers who purchased turkey sandwiches, 21 of them chose sourdough bread. 21 divided by 36 is 0.58333, which is equivalent to 59%.

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Answer:

Could have been 12, 13, or 14

Step-by-step explanation:

If you add 2 to 12 it's 14. 14 isn't less than 14 or more than 16.

If you add 2 to 13 it's 15. 15 isn't less than 14 or more than 16.

If you add 2 to 14 it's 16. 16 isn't less than 14 or more than 16.

Answer:

The missing value is -9

Step-by-step explanation:

Given

\(-7 = _ -(-2)\)

Required

Determine the missing value

Represent _ with a variable

\(-7 = x -(-2)\)

Open the bracket

\(-7 = x -1*-2\)

\(-7 = x + 2\)

Subtract 2 from both sides

\(-7 - 2 = x + 2 - 2\)

\(-9 = x\)

Reorder

\(x = -9\)

Hence, the missing value is -9

Answer:

The answer is 4=−2+6

Step-by-step explanation:

I checked on khan

Answer is y = -1.01x + 38.19

The formula for calculating the regression line is:

y = a + bx

To find the regression line, we need to calculate two coefficients. They are a and b. where,

b = (NΣxy - ΣxΣy) / (NΣx2 - (Σx)2)and a = y - bx

Here, N = 14N = number of data sets

x = the independent variable

y = the dependent variable

Σ = summationx2 = square of x, i.e., x multiplied by itself

xy = x multiplied by y

Here, x and y have already been given. Thus, we need to calculate the remaining terms for determining the values of a and b.

The following table shows the steps for finding the values of a and b:-

x y x² xy5 26.25 25 131.256 22.3 36 133.87 22.75 49 176.175 22 25 1749 22.35 81 200.1510 19.8 100 19811 17.75 121 194.2512 16.8 144 201.613 17.75 169 299.75514 16.3 196 263.89515 15.95 225 359.2516 13.6 256 219.52Σx = 155 Σy = 255.95Σx² = 2870 Σxy = 4391.81

Now, we can calculate the value of b as:

b = (NΣxy - ΣxΣy) / (NΣx² - (Σx)²)b = (14 x 4391.81 - 155 x 255.95) / (14 x 2870 - 155²)b = -1.0146Next, we can calculate the value of a as:

a = y - bx

a = (Σy / N) - b (Σx / N)a = (255.95 / 14) - (-1.0146 x 155 / 14)a = 38.1921

Thus, the equation of the regression line is:

y = -1.01x + 38.19

The values are rounded off to two decimal places.

Answer:

y = -1.01x + 38.19

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The phrases "how does it take over a complete being in a single, momentary look" are used to describe who feels for the other more in the relationship, they say. As a result, choice D is right.

I experience momentary emotions at any particular time. It's essential for me to acknowledge that bad emotions exist when they do. and to pay close attention to them. That helps me better manage these emotions.

When a switch is activated and the button removed, the switch performs a brief action and then returns to its original state.

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The correct question is:

How do the phrases "how does it take over an entire being in a single, momentary glance", "not only beloved by the gods but also beloved by me, Ariadne", and "together as one being for all eternity" impact the meaning of the story?

(A) They describe how quickly Ariadne and Theseus fell in love.

(B) They explain how Ariadne was the one who initiated the relationship.

(C) They emphasize how Ariadne is easily overcome by feelings of love.

(D) They explain who cares more for the other in the relationship.

As given by the question

(17)

There are given that the equation

Now,

From the general solution for the given equation

Then,

Solve above solution

So, divide by 3 on both side of the equation

Hence, the value of the given equation is shown below:

Answer:

D) 4 < x < 6

Step-by-step explanation:

The interval is decreasing when it is doing down in value  when x is increasing.

The graph is decreasing over the interval between the values of 4 and 6.

Answer:

A=$12451.67474

Step-by-step explanation:

A=$12000{(1+3/100)^¼)}^4

A=$12451.67474

The value of the sample proportion of people from Vermont who exercised for at least 30 minutes a day 3 days a week is 0.653, which is equivalent to 65.3%.

It is important to note that this value is based on a random sample of respondents and may not necessarily represent the true proportion of the entire population of Vermont who exercise regularly.

To find the sample proportion of people from Vermont who exercised for at least 30 minutes a day, 3 days a week, follow these steps:

1. Convert the given percentage (65.3%) to a decimal by dividing by 100: 65.3 / 100 = 0.653
2. Multiply the decimal by the number of participants in the random sample (100 respondents): 0.653 * 100 = 65.3
3. Round the result to the nearest whole number to find the number of participants who exercised: 65.3 ≈ 65
4. Divide the number of participants who exercised (65) by the total number of participants in the random sample (100): 65 / 100 = 0.65

This means that out of the 100 participants sampled from Vermont, 65.3 of them answered "yes" to the question of whether they had exercised for more than 30 minutes a day for three days out of the week.

The value of the sample proportion of people from Vermont who exercised for at least 30 minutes a day, 3 days a week is 0.65 or 65%.

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Answer:

The answere is C

Step-by-step explanation:

Answer:

250 $3 tickets and 100 $2 tickets were sold.

Answer: So this is the correct awesnser

Step-by-step explanation:

So, Lana gave away 26.32% of he Pokemon cards  to her little brother.

To find the percentage of cards Lana gave away, we can use the formula:(Quantity given away / Total quantity) * 100.

In this case, Lana gave away 125 cards out of her total collection of 475 cards.Plugging these values into the formula, we have:

(125 / 475) * 100 = 0.2632 * 100 = 26.32%.

Lana gave away 26.32% of her Pokemon cards to her little brother.

Alternatively, we can calculate the percentage by subtracting the remaining cards from the total and finding the ratio:

Percentage given away

= (Cards given away / Total cards) * 100

= (125 / 475) * 100

= 26.32%.

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Answer:

Step-by-step explanation:

16 = 20% of x

20% = 1/5

So...

16 = 1/5 of x

16 = 1/5*x

Multiply both sides by 5...

80 = x

There are 80 questions on the test.

Please mark brainliest.

a) When 44 is divided by 8, the quotient is the number of times 8 can be subtracted from 44 without going below zero.

44 divided by 8 gives a quotient of 5 with a remainder of 4. Therefore, the quotient is 5 and the remainder is 4.

b) When 777 is divided by 21, we find the quotient and remainder as follows:

777 divided by 21 gives a quotient of 37 with a remainder of 0. Therefore, the quotient is 37 and the remainder is 0.

c) When -123 is divided by 19, we find the quotient and remainder as follows:

-123 divided by 19 gives a quotient of -6 with a remainder of 9. Therefore, the quotient is -6 and the remainder is 9.

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The solutions are the points that belong to the line, these are:

(-6, -4)

(-2, 2)

(-1, 0)

(2, 6)

Here we can see that we have the graph of a linear equation. The given points would be solutions if the points lie on the graphed line.

Remember that for a point (x, y), x is the value you need to look in the horizontal axis and y is the value that you need to look on the vertical axis.

Then, from the given points the ones that are on the graphed line are:

(-6, -4)

(-2, 2)

(-1, 0)

(2, 6)

All these points are on the line, thus, are solutions.

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Answer:

16/5

Step-by-step explanation:

Answer:

16/5

Step-by-step explanation:

When you move the numerator and denominator. (aka. flip)

The Domain of the cosecant function restricted to -π/2 to π/2. Option B is correct.

Function can be defined as the for every independent variable there is certain value of dependent variable.

Here,
Domain of cosecant function is (-∞, ∞) - {nπ}.
The restricted domain of the cosecant function for its inverse to be held is(-π/2, π/2)

Thus, the Domain of the cosecant function restricted to -π/2 to π/2.

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Answer:

BBBBBBBBBBBBBBBB

Step-by-step explanation:

just took it